NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Lars Bergman
Date: 2023 Jun 29, 12:08 -0700
Frank,
Coming back from a few days voyaging I finally have got time for your puzzle. Latitude from Polaris would have been most easily solved by the NA Polaris tables, but as I don't have the current year's NA, I solved it as an ordinary sight using the cosine haversine formula, using the estimated latitude as input and then moving the resulting latitude south by one minute, being the approximate run during the assumed 12 minutes of time run since the EP.
Then this latitude was used in an ordinary time sight calculation of the average of the altitudes of Venus.
I have used your NA to get the required data for midnight UT and used the tables in an old NA for the increments, as well as for altitude corrections.
Being well offshore I see no reason to work the resulting position to anything better than integer minutes of arc, it only gives you a false impression of accuracy to use tenth of a minute.
My result: 34°58'N, 67°7'W. Calculations attached.
Lars
